DLMF:13.6.E20 (Q4407)

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DLMF:13.6.E20
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    Statements

    Defining formula
    U ⁡ ( - n , z - n + 1 , a ) = ( - z ) n ⁢ M ⁡ ( - n , z - n + 1 , a ) = a n ⁢ C n ⁡ ( z ; a ) . Kummer-confluent-hypergeometric-U 𝑛 𝑧 𝑛 1 𝑎 Pochhammer 𝑧 𝑛 Kummer-confluent-hypergeometric-M 𝑛 𝑧 𝑛 1 𝑎 superscript 𝑎 𝑛 Charlier-polynomial-C 𝑛 𝑧 𝑎 {\displaystyle{\displaystyle U\left(-n,z-n+1,a\right)={\left(-z\right)_{n}}M% \left(-n,z-n+1,a\right)=a^{n}C_{n}\left(z;a\right).}}
    0 references
    DLMF id
    DLMF:13.6.E20
    0 references
    Symbols used
    Q11565
    Defining formula
    C n ⁡ ( x ; a ) Charlier-polynomial-C 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}
    xml-id
    C18.S19.T1.t1.r5.m2adec
    0 references
     
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